Rise Over Run Worksheets

About this resource

A complete slope kit for grades 6-8, built for the table where students need different amounts of support. Students read a one-page reference (slope = rise divided by run, four small graphs, six key words), count the rise and run on four graph grids, draw four lines from a starting point and a slope, name positive, negative, zero and undefined slope, find slope from two points, answer multiple-choice and true-or-false questions, find the mistake in four worked solutions, use slope on ramps and steps, sort statements by kind of slope with scissors, and explain their thinking in writing. Every page has a name line, one short instruction and real room to work. Three answer keys, a tracker, a class grid, a progress note and a family page are included, so nothing has to be written from scratch.

EVERYTHING INSIDE (26 pages)

• 11 student pages in 11 page types: Slope at a Glance, Count the Rise and Run, Draw the Line, Four Kinds of Slope, Slope from Two Points, Multiple Choice, True or False? Fix It, Find the Mistake, Real-Life Slope: Ramps, Cut and Paste: Sort It and Explain It
• 88 scored items on 10 pages, every answer recomputed in code from the same points that draw the graphs
• 19 graph grids drawn in code: 4 to count on, 4 to draw on, 6 small graphs to name, 4 on the reference page and 1 for a ramp
• 12 boxes to fill in on Count the Rise and Run (rise, run and slope for 4 lines) and 4 lines to draw from a point and a slope, each with a second point to name
• 1 table of 6 pairs of points (a worked first row, 5 to finish) plus 4 more pairs to work out with room for the steps
• 8 multiple-choice questions and 8 true-or-false statements (with a line to fix each false one)
• 4 invented students' worked solutions, each with one mistake to find, explain and correct
• 1 real-life page: 4 ramps and steps with their rise and run, a ramp drawing and a blank grid to draw a ramp on
• 8 cut-and-paste pieces on one four-box sort mat (positive, negative, zero, undefined), edge to edge, each piece 1.75 in by 1.15 in
• 3 explanation prompts with 5 or 6 writing lines each
• 3 answer keys, checked against the questions, with the four drawn lines shown on small grids
• 1 tracker (page, page type, items right, date) and 1 whole-class progress grid
• 1 progress note (a hand-off page between team meetings) and 1 family page
• 1 filled example (an invented student, Jordan T.), 1 phrase bank (15 starters in 5 groups), 1 binder cover and 6 divider tabs with a spine label to cut out
• Start Here page

The Page Types

1. Slope at a Glance: the formula, a small graph of each kind of slope, six key words (slope, rise, run, positive slope, negative slope, zero and undefined) and lines to write what the student knows.

2. Count the Rise and Run: four lines on grids with two marked points each. The student writes the rise, the run and the slope.

3. Draw the Line: four grids with a start dot and a slope given in words and as a number. The student draws the line and names a second point.

4. Four Kinds of Slope: six lines to name, a word box, and two written questions (why a flat line has slope 0 and why a straight up-and-down line is undefined).

5. Slope from Two Points: a worked first row, five rows to finish (rise = y2 - y1, run = x2 - x1, slope), then four more pairs to work out with lines for the steps.

6. Multiple Choice: 8 questions with four lettered choices each. The right letter moves from question to question.

7. True or False? Fix It: 8 statements, a T or F box, and a line to rewrite each false one.

8. Find the Mistake: four worked solutions by invented students (a flipped fraction, a sign error, a flat line called undefined, a missing negative). The student says what went wrong and writes the correct slope.

9. Real-Life Slope: Ramps: a ramp drawing with rise and run marked, a table of four ramps and steps with lengths given, a ramp to draw on a grid, and two comparisons.

10. Cut and Paste: Sort It: 8 pieces to sort into four boxes by kind of slope, then a sentence about how a flat line and a straight up-and-down line are different.

11. Explain It: 3 situations to explain in words, with sentence starters.

Built For The Student Holding The Page

A big "My name" line, one short instruction, body text at 11 point or larger, answer boxes you can type in or write in, and graph grids large enough to count squares on. There are no cartoon characters or baby-ish borders. Nothing on a student page is written for an adult; the keys, tracker and notes are on separate teacher pages. The file prints clean in black and white.

No Guessing The Answer

Wherever a student picks among printed spots (the lettered choices, the order of true and false, the order of the lines to name, the order of the cut pieces) the position of the right answer is checked in code so it does not sit in the same spot three times in a row.

Type In, Or Print

The name line, every answer box, blank and writing line is a type-in field in any PDF reader: click one, type, then save. The same goes for the tracker, the class grid, the progress note and the family page. This is a fillable PDF; it is not a Google Slides or PowerPoint file. The graphs, the drawing and the cut-and-paste sort are for pencil and scissors.

Who This Is For

Middle school math classes, resource rooms, co-taught classrooms and special education teachers who need slope practice at grades 6-8 content with room for support: a reference page, sentence starters and a worked row to start from. It can be used as a unit, as stations, or one page a day.

What This Is, And What It Is Not

A slope worksheet set with the record-keeping around it. The math is the standard middle school version of slope as rise over run. It is not a timed test, a screener, a clinical tool, or a claim about any student's age or rate of progress. There is no IEP goal language or eligibility wording anywhere in the file. The students, ramps and measurements on the pages are invented.